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Finding the Fourth Proportional to 556,943,607,002.40, 835,415,410,503.55 and 556,943,607,002.40

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Solution

The fourth proportional to 556,943,607,002.40, 835,415,410,503.55 and 556,943,607,002.40 is: 835,415,410,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,943,607,002.40 : 835,415,410,503.55 = 556,943,607,002.40 : x
  2. Step 2: Convert to fraction form
    556,943,607,002.40/835,415,410,503.55 = 556,943,607,002.40/x
  3. Step 3: Cross multiply
    556,943,607,002.40x = 835,415,410,503.55 × 556,943,607,002.40
  4. Step 4: Simplify right side
    556,943,607,002.40x = 465,279,272,071,237,845,647,360
  5. Step 5: Solve for x
    x = 465,279,272,071,237,845,647,360/556,943,607,002.40
  6. Step 6: Final answer
    x = 835,415,410,503.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.